##############ECHO OF PROBLEM################# ##############temp/multpostode.ode################# diff ( y , x , 1 ) = x * x ; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 10.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 20; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0 + x * x * x / 3.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.000333333333333 y[1] (numeric) = 1.000333333333333 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 1.000333433343334 y[1] (numeric) = 1.000333433343334 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.000333533373336 y[1] (numeric) = 1.000333533373336 absolute error = 2.220446049250313e-16 relative error = 2.219705703319272e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.000333633423342 y[1] (numeric) = 1.000333633423342 absolute error = 2.220446049250313e-16 relative error = 2.219705481311771e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.000333733493355 y[1] (numeric) = 1.000333733493354 absolute error = 2.220446049250313e-16 relative error = 2.219705259259923e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.000333833583375 y[1] (numeric) = 1.000333833583375 absolute error = 2.220446049250313e-16 relative error = 2.219705037163721e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.000333933693405 y[1] (numeric) = 1.000333933693405 absolute error = 4.440892098500626e-16 relative error = 4.439409630046326e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.000334033823448 y[1] (numeric) = 1.000334033823447 absolute error = 4.440892098500626e-16 relative error = 4.439409185676486e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.000334133973504 y[1] (numeric) = 1.000334133973503 absolute error = 4.440892098500626e-16 relative error = 4.439408741217915e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.000334234143576 y[1] (numeric) = 1.000334234143576 absolute error = 6.661338147750939e-16 relative error = 6.659112445005904e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.000334334333667 y[1] (numeric) = 1.000334334333666 absolute error = 6.661338147750939e-16 relative error = 6.659111778051813e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.000334434543777 y[1] (numeric) = 1.000334434543776 absolute error = 6.661338147750939e-16 relative error = 6.659111110964583e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.000334534773909 y[1] (numeric) = 1.000334534773909 absolute error = 6.661338147750939e-16 relative error = 6.659110443744203e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.000334635024066 y[1] (numeric) = 1.000334635024065 absolute error = 4.440892098500626e-16 relative error = 4.439406517593774e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.000334735294248 y[1] (numeric) = 1.000334735294248 absolute error = 4.440892098500626e-16 relative error = 4.439406072602627e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.000334835584458 y[1] (numeric) = 1.000334835584458 absolute error = 4.440892098500626e-16 relative error = 4.439405627522687e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.000334935894699 y[1] (numeric) = 1.000334935894698 absolute error = 4.440892098500626e-16 relative error = 4.439405182353944e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.000335036224971 y[1] (numeric) = 1.000335036224971 absolute error = 4.440892098500626e-16 relative error = 4.439404737096391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.000335136575277 y[1] (numeric) = 1.000335136575277 absolute error = 4.440892098500626e-16 relative error = 4.439404291750018e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.00033523694562 y[1] (numeric) = 1.000335236945619 absolute error = 6.661338147750939e-16 relative error = 6.659105769472222e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.000335337336 y[1] (numeric) = 1.000335337335999 absolute error = 6.661338147750939e-16 relative error = 6.659105101186163e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.00033543774642 y[1] (numeric) = 1.00033543774642 absolute error = 6.661338147750939e-16 relative error = 6.659104432766833e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.000335538176883 y[1] (numeric) = 1.000335538176882 absolute error = 4.440892098500626e-16 relative error = 4.439402509476148e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.000335638627389 y[1] (numeric) = 1.000335638627389 absolute error = 4.440892098500626e-16 relative error = 4.439402063685543e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.000335739097941 y[1] (numeric) = 1.000335739097941 absolute error = 4.440892098500626e-16 relative error = 4.439401617806065e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.000335839588542 y[1] (numeric) = 1.000335839588541 absolute error = 6.661338147750939e-16 relative error = 6.659101757756557e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.000335940099192 y[1] (numeric) = 1.000335940099191 absolute error = 6.661338147750939e-16 relative error = 6.659101088670681e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.000336040629894 y[1] (numeric) = 1.000336040629894 absolute error = 4.440892098500626e-16 relative error = 4.439400279634305e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.000336141180651 y[1] (numeric) = 1.00033614118065 absolute error = 4.440892098500626e-16 relative error = 4.439399833399247e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.000336241751463 y[1] (numeric) = 1.000336241751463 absolute error = 4.440892098500626e-16 relative error = 4.439399387075272e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.000336342342333 y[1] (numeric) = 1.000336342342333 absolute error = 4.440892098500626e-16 relative error = 4.439398940662372e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.000336442953264 y[1] (numeric) = 1.000336442953263 absolute error = 6.661338147750939e-16 relative error = 6.659097741240804e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.000336543584256 y[1] (numeric) = 1.000336543584255 absolute error = 4.440892098500626e-16 relative error = 4.439398047569758e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.000336644235312 y[1] (numeric) = 1.000336644235312 absolute error = 4.440892098500626e-16 relative error = 4.439397600890027e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.000336744906435 y[1] (numeric) = 1.000336744906434 absolute error = 4.440892098500626e-16 relative error = 4.439397154121335e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.000336845597625 y[1] (numeric) = 1.000336845597624 absolute error = 4.440892098500626e-16 relative error = 4.439396707263674e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.000336946308885 y[1] (numeric) = 1.000336946308885 absolute error = 4.440892098500626e-16 relative error = 4.439396260317033e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.000337047040218 y[1] (numeric) = 1.000337047040217 absolute error = 4.440892098500626e-16 relative error = 4.439395813281404e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.000337147791624 y[1] (numeric) = 1.000337147791624 absolute error = 4.440892098500626e-16 relative error = 4.43939536615678e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.000337248563106 y[1] (numeric) = 1.000337248563106 absolute error = 4.440892098500626e-16 relative error = 4.439394918943151e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.000337349354667 y[1] (numeric) = 1.000337349354666 absolute error = 2.220446049250313e-16 relative error = 2.219697235820254e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.000337450166307 y[1] (numeric) = 1.000337450166307 absolute error = 2.220446049250313e-16 relative error = 2.219697012124421e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.000337550998029 y[1] (numeric) = 1.000337550998029 absolute error = 2.220446049250313e-16 relative error = 2.219696788384072e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.000337651849836 y[1] (numeric) = 1.000337651849835 absolute error = 4.440892098500626e-16 relative error = 4.439393129198405e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.000337752721728 y[1] (numeric) = 1.000337752721728 absolute error = 4.440892098500626e-16 relative error = 4.439392681539616e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.000337853613708 y[1] (numeric) = 1.000337853613708 absolute error = 4.440892098500626e-16 relative error = 4.439392233791771e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.000337954525779 y[1] (numeric) = 1.000337954525778 absolute error = 4.440892098500626e-16 relative error = 4.439391785954858e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.000338055457941 y[1] (numeric) = 1.000338055457941 absolute error = 4.440892098500626e-16 relative error = 4.439391338028869e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.000338156410197 y[1] (numeric) = 1.000338156410197 absolute error = 4.440892098500626e-16 relative error = 4.439390890013796e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.00033825738255 y[1] (numeric) = 1.000338257382549 absolute error = 4.440892098500626e-16 relative error = 4.439390441909629e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.000338358375 y[1] (numeric) = 1.000338358375 absolute error = 4.440892098500626e-16 relative error = 4.439389993716361e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.00033845938755 y[1] (numeric) = 1.00033845938755 absolute error = 4.440892098500626e-16 relative error = 4.439389545433981e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.000338560420203 y[1] (numeric) = 1.000338560420202 absolute error = 4.440892098500626e-16 relative error = 4.439389097062481e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.000338661472959 y[1] (numeric) = 1.000338661472959 absolute error = 4.440892098500626e-16 relative error = 4.439388648601853e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.000338762545821 y[1] (numeric) = 1.000338762545821 absolute error = 4.440892098500626e-16 relative error = 4.439388200052087e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.000338863638792 y[1] (numeric) = 1.000338863638791 absolute error = 4.440892098500626e-16 relative error = 4.439387751413175e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.000338964751872 y[1] (numeric) = 1.000338964751872 absolute error = 2.220446049250313e-16 relative error = 2.219693651342554e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.000339065885064 y[1] (numeric) = 1.000339065885064 absolute error = 4.440892098500626e-16 relative error = 4.439386853867876e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.000339167038371 y[1] (numeric) = 1.00033916703837 absolute error = 2.220446049250313e-16 relative error = 2.219693202480737e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.000339268211793 y[1] (numeric) = 1.000339268211793 absolute error = 4.440892098500626e-16 relative error = 4.439385955965886e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.000339369405333 y[1] (numeric) = 1.000339369405333 absolute error = 2.220446049250313e-16 relative error = 2.219692753440555e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.000339470618994 y[1] (numeric) = 1.000339470618993 absolute error = 2.220446049250313e-16 relative error = 2.219692528853567e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.000339571852776 y[1] (numeric) = 1.000339571852776 absolute error = 2.220446049250313e-16 relative error = 2.219692304221976e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.000339673106682 y[1] (numeric) = 1.000339673106682 absolute error = 2.220446049250313e-16 relative error = 2.219692079545776e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.000339774380715 y[1] (numeric) = 1.000339774380714 absolute error = 4.440892098500626e-16 relative error = 4.439383709649924e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.000339875674875 y[1] (numeric) = 1.000339875674875 absolute error = 2.220446049250313e-16 relative error = 2.219691630059532e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.000339976989165 y[1] (numeric) = 1.000339976989165 absolute error = 4.440892098500626e-16 relative error = 4.43938281049896e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.000340078323588 y[1] (numeric) = 1.000340078323587 absolute error = 2.220446049250313e-16 relative error = 2.219691180394802e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.000340179678144 y[1] (numeric) = 1.000340179678144 absolute error = 2.220446049250313e-16 relative error = 2.219690955495494e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.000340281052836 y[1] (numeric) = 1.000340281052836 absolute error = 2.220446049250313e-16 relative error = 2.21969073055155e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.000340382447667 y[1] (numeric) = 1.000340382447666 absolute error = 2.220446049250313e-16 relative error = 2.219690505562967e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.000340483862637 y[1] (numeric) = 1.000340483862637 absolute error = 2.220446049250313e-16 relative error = 2.21969028052974e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.000340585297749 y[1] (numeric) = 1.000340585297749 absolute error = 2.220446049250313e-16 relative error = 2.219690055451866e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.000340686753006 y[1] (numeric) = 1.000340686753006 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.000340788228408 y[1] (numeric) = 1.000340788228408 absolute error = 2.220446049250313e-16 relative error = 2.219689605162154e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.000340889723958 y[1] (numeric) = 1.000340889723958 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.000340991239659 y[1] (numeric) = 1.000340991239659 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.000341092775511 y[1] (numeric) = 1.000341092775511 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.000341194331517 y[1] (numeric) = 1.000341194331517 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.00034129590768 y[1] (numeric) = 1.00034129590768 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.000341397504 y[1] (numeric) = 1.000341397504 absolute error = 2.220446049250313e-16 relative error = 2.219688253221005e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.00034149912048 y[1] (numeric) = 1.00034149912048 absolute error = 2.220446049250313e-16 relative error = 2.219688027741099e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.000341600757123 y[1] (numeric) = 1.000341600757123 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.000341702413929 y[1] (numeric) = 1.000341702413929 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.000341804090901 y[1] (numeric) = 1.000341804090901 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.000341905788042 y[1] (numeric) = 1.000341905788042 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.000342007505352 y[1] (numeric) = 1.000342007505352 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.000342109242834 y[1] (numeric) = 1.000342109242834 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.000342211000491 y[1] (numeric) = 1.000342211000491 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.000342312778323 y[1] (numeric) = 1.000342312778323 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.000342414576333 y[1] (numeric) = 1.000342414576333 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.000342516394524 y[1] (numeric) = 1.000342516394524 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.000342618232896 y[1] (numeric) = 1.000342618232896 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.000342720091452 y[1] (numeric) = 1.000342720091452 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.000342821970195 y[1] (numeric) = 1.000342821970195 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.000342923869125 y[1] (numeric) = 1.000342923869125 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.000343025788245 y[1] (numeric) = 1.000343025788245 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.000343127727558 y[1] (numeric) = 1.000343127727558 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.000343229687064 y[1] (numeric) = 1.000343229687064 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.000343331666766 y[1] (numeric) = 1.000343331666766 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 1.000343433666667 y[1] (numeric) = 1.000343433666667 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = x * x ; Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 9 Seconds Expected Time Remaining = 1 Days 3 Hours 13 Minutes 29 Seconds Optimized Time Remaining = 1 Days 0 Hours 30 Minutes 8 Seconds Time to Timeout = 50 Seconds Percent Done = 0.0102 %